Classification of rational angles in plane lattices II
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911826110840832 |
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| author | Dvornicich, Roberto Lombardo, Davide Veneziano, Francesco Zannier, Umberto |
| author_facet | Dvornicich, Roberto Lombardo, Davide Veneziano, Francesco Zannier, Umberto |
| contents | This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples of $π$. We give a complete and explicit description of lattices according to which of these configurations can be found among their points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02559 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of rational angles in plane lattices II Dvornicich, Roberto Lombardo, Davide Veneziano, Francesco Zannier, Umberto Number Theory 14G05 (Primary) 11H06, 11D61, 51M05 (Secondary) This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples of $π$. We give a complete and explicit description of lattices according to which of these configurations can be found among their points. |
| title | Classification of rational angles in plane lattices II |
| topic | Number Theory 14G05 (Primary) 11H06, 11D61, 51M05 (Secondary) |
| url | https://arxiv.org/abs/2404.02559 |